Question

Applying the Segment Addition PostulatePoint D is on segment BC. Segment BC measures 8xunits in length.СDBWhat is the length of segment BC?units3x + 84x + 10I dont understand how to do this can you help me? please and thank you!

Answer 1

`\begin{gathered} CD+DB=BC \\ 3x+8+4x+10=8x \\ 7x+18=8x \\ 7x+18-18=8x-18 \\ 7x=8x-18 \\ 7x-8x=8x-18-8x \\ -x=-18 \\ x=18 \end{gathered}`

therefore the length of segment BC is

`BC=8x=8(18)=144`